Pith Number

pith:E63QCKHV

pith:2005:E63QCKHV3QPN3KVBM3MPQXLFRC

not attested not anchored not stored refs pending

A note on Rees algebras and the MFMC property

C. E. Valencia, I. Gitler, R. H. Villarreal

arxiv:math/0511307 v2 · 2005-11-11 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E63QCKHV3QPN3KVBM3MPQXLFRC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:25:03.634085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b70128f5dc1eddaaa166d8f85d658895cdb6ec293dfb3079a287a05f97415f

Aliases

arxiv: math/0511307 · arxiv_version: math/0511307v2 · doi: 10.48550/arxiv.math/0511307 · pith_short_12: E63QCKHV3QPN · pith_short_16: E63QCKHV3QPN3KVB · pith_short_8: E63QCKHV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E63QCKHV3QPN3KVBM3MPQXLFRC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 27b70128f5dc1eddaaa166d8f85d658895cdb6ec293dfb3079a287a05f97415f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac331f40737ff8a06dc2dcfa8aad6be6f83e51dd77ccef316ad973d291c4b534",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-11-11T17:18:56Z",
    "title_canon_sha256": "4df5980d5e124096b3e8e3e55fe8059619a474932b761b2737811b1727b7de1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511307",
    "kind": "arxiv",
    "version": 2
  }
}